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Gay-Lussac's Law Calculator

Formula

The formula to calculate the initial pressure using Gay-Lussac's Law is:

$P_1 = \frac{P_2}{T_2} \times T_1$

Where:

P₁ is the initial pressure
P₂ is the final pressure
T₁ is the initial temperature
T₂ is the final temperature

Gay-Lussac's Law Definition

Gay-Lussac's Law states that the pressure of a gas is directly proportional to its temperature, assuming a constant volume and amount of gas. This law is important because it helps us understand the relationship between pressure and temperature in a gas, allowing us to make predictions and calculations in various scientific and practical applications, such as in the design of engines, weather forecasting, and gas storage.

Example Calculation

Example:

Initial Temperature (T₁): 5 K
Final Pressure (P₂): 5 Pa
Final Temperature (T₂): 10 K

Step 1: Calculate the initial pressure:

$P_1 = \frac{5}{10} \times 5 = 2.5 \text{ Pa}$